A fixed point theorem based on Miranda.
Schäfer, Uwe (2007)
Fixed Point Theory and Applications [electronic only]
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Schäfer, Uwe (2007)
Fixed Point Theory and Applications [electronic only]
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Raffoul, Youssef N., Tisdell, Christopher C. (2005)
Advances in Difference Equations [electronic only]
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Takagi, Hiroyuki, Miura, Takeshi, Kanzo, Tadashi, Takahasi, Sin-Ei (2005)
Journal of Inequalities and Applications [electronic only]
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Oudghiri, Mourad, Zohry, Mohamed (2005)
Portugaliae Mathematica. Nova Série
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Gao, Peng (2006)
International Journal of Mathematics and Mathematical Sciences
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Papaschinopoulos, G., Schinas, C.J., Stefanidou, G. (2007)
Advances in Difference Equations [electronic only]
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Prakasa Rao, B.L.S. (2005)
Journal of Inequalities and Applications [electronic only]
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Jakub Duda (2008)
Czechoslovak Mathematical Journal
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In this paper we study the notions of finite turn of a curve and finite turn of tangents of a curve. We generalize the theory (previously developed by Alexandrov, Pogorelov, and Reshetnyak) of angular turn in Euclidean spaces to curves with values in arbitrary Banach spaces. In particular, we manage to prove the equality of angular turn and angular turn of tangents in Hilbert spaces. One of the implications was only proved in the finite dimensional context previously, and equivalence...
Ujević, Nenad (2004)
The New York Journal of Mathematics [electronic only]
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